Given a population with a mean of µ = 100 and a variance σ2 = 13, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 28 is obtained. What is the probability that 98.02 < x⎯⎯ < 99.08?
In: Statistics and Probability
e = .01 and c = .2 and r = .1 and MB = 100. If Banks increase e to .2, and the Federal Reserve wants to maintain the same supply of money what should they do?
52. CIRCLE: Buy or Sell Bonds
53. How many bonds?
In: Economics
Fair Coin? In a series of 100 tosses of a token, the proportion of heads was found to be 0.58. However, the margin of error for the estimate on the proportion of heads in all tosses was too big. Suppose you want an estimate that is in error by no more than 0.05 at the 90% confidence level.
(a) What is the minimum number of tosses required to obtain this type of accuracy? Use the prior sample proportion in your calculation.
You should toss the token at least times.
(b) What is the minimum number of tosses required to obtain this
type of accuracy when you assume no prior knowledge of the sample
proportion?
You should toss the token at least times.
In: Statistics and Probability
The table shows the results of a survey of 100 authors by a publishing company.
| New Authors | Established Authors | Total | |
|---|---|---|---|
| Successful | 10 | 30 | 40 |
| Unsuccessful | 10 | 50 | 60 |
| Total | 20 | 80 | 100 |
Compute the following conditional probability.
An author is established, given that she is successful.
2) The table shows the results of a survey of 100 authors by a
publishing company.
| New Authors | Established Authors | Total | |
|---|---|---|---|
| Successful | 15 | 25 | 40 |
| Unsuccessful | 10 | 50 | 60 |
| Total | 25 | 75 | 100 |
Compute the following conditional probability.
An unsuccessful author is established.
In: Statistics and Probability
the expenditures for all customers at a supermarket are normally distributed with a mean of $100 and a standard deviation of $30. The store’s management wants to give free coupons to customers who spend in the top 5 percentage of all expenditures. How much will customer have to spend in order to get a coupon?
In: Statistics and Probability
A property is subject to taxation at a rate of $2.69485 per $100 of value. If the property has an assessed value $275,000 the tax amount due would be?
a. $74,108.38 b. $ 741.08 c. $7,410.84 d. $7,425.00 e. $7,140.84
Which of the following describes a Gross Lease?
a. A lease in which the tenant pays rent plus defined operating expenses related to the property.
b. An agreement in which the tenant pays a fixed amount of rent and some or all of the utilities while the landlord/property owner is responsible for payment of all taxes, insurance and expenses related to the property.
c. A lease in which the tenant pays the landlord a percentage of the monthly income derived from the property.
d. An agreement allowing the tenant to terminate the lease should certain conditions near the premises become intolerable.
e. An agreement in which the tenant pays a fixed amount plus their share of taxes, insurance and operating expenses.
Which of the following transactions is BEST described as involving a ground lease?
a. A tenant agrees to pay a base amount for the property plus a percentage of business generated income
b. A landowner charges a commercial tenant separate amounts for the land and the leased restaurant facility.
c. A property owner negotiates terms with a prospective occupant to purchase the subject property at a fixed rate of $500 per month for a period of 10 years.
d. A property owner negotiates terms charging rent for a period of 50 years, allowing the tenant to improve the property with a restaurant building. After the 50 year period, the property and improvements return to the property owner.
e. A tenant agrees to pay a proportionate amount of rent, increasing on annual third-party appraisals of the leased property.
Lenders who make funds available directly to borrowers for the purchase of property include all of the following EXCEPT:
a. Commercial Banks b. Credit Unions c. Fannie Mae d. Savings Associations e. Endowment Funds
The following are requirements for a valid lease EXCEPT:
a. Capacity to contract b. Legal Objective c. Offer and Acceptance d. Attorney Approval e. Consideration
In: Finance
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
In: Statistics and Probability
An IQ test is designed so that the mean is 100 and the standard deviation is 22 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean. Assume that sigmaequals22 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
In: Statistics and Probability
Given a population with a mean of µ = 100 and a variance σ2 = 14, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 46 is obtained. What is the probability that 98.80 < x¯ < 100.92?
In: Statistics and Probability
IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ greater than 95) = % b) Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ less than 125) = % c) In a sample of 700 people, how many people would have an IQ less than 110? people d) In a sample of 700 people, how many people would have an IQ greater than 140? people
In: Statistics and Probability